{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([-2,  0,  3,  3, -1,  0, -3, -3, -1, -1, -4,  0, -2,  1,  3,  1,  3,\n",
       "        2,  0,  0])"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "nums = np.random.randint(-5,5,(20,))\n",
    "nums"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "def algorithm(nums):\n",
    "    move = []\n",
    "    \n",
    "    nums.sort()                # 排序是为了方便双指针定义移动\n",
    "    answer = []\n",
    "    if nums[0] > 0:        # 当排序后第一个数都大于0，表明数列一定不存在三数相加等于0\n",
    "        return []\n",
    "    for i in range(len(nums)):\n",
    "        if nums[i] > 0:     # 当排序后遍历索引都大于0 ，后续都必定大于0，此时可以返回\n",
    "            return answer, move\n",
    "        \n",
    "        if i>0 and nums[i] == nums[i-1]:    # 遍历指针去重：nums[i] == nums[i-1] √  此时nums[i]是当前遍历指针，nums[i-1]是已经遍历过的指针，此时可以判断是否重复\n",
    "            continue                                      # nums[i] == nums[i+1] ×  此时nums[i]是当前遍历指针，nums[i+1]是后续两数取值范畴，不是去重的时候\n",
    "            \n",
    "        left = i+1            # 左指针，定义第二个数，控制和变大\n",
    "        right = len(nums)-1   # 右指针，定义第三个数，控制和变小\n",
    "        record = set()        # 记录集合：用来去重左右指针对应的第二第三数\n",
    "        while right > left:   # 左右指针相等代表指向一个数，需两个数，因此此时循环结束\n",
    "            move.append((i, left, right))\n",
    "            sum_ = nums[i] + nums[left] + nums[right]           # 定义三数和\n",
    "            if sum_ > 0 :                 # 和大于0， 左移右指针以减小\n",
    "                right -=1\n",
    "            elif sum_ < 0 :              # 和小于0， 右移左指针以增大\n",
    "                left +=1\n",
    "            else:                        # 和等于0， 此时是目标值\n",
    "                record.add((nums[left], nums[right]))    # 使用集合添加元素，可去重\n",
    "                right -= 1              # 寻找下一个元素\n",
    "                left += 1             \n",
    "        for n in record:     \n",
    "            a = list(n)\n",
    "            a.append(nums[i])\n",
    "            answer.append(a)          # 记录完整三个数\n",
    "    return answer, move"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[[1, 3, -4],\n",
       " [1, 2, -3],\n",
       " [0, 3, -3],\n",
       " [1, 1, -2],\n",
       " [0, 2, -2],\n",
       " [-1, 3, -2],\n",
       " [0, 1, -1],\n",
       " [-1, 2, -1],\n",
       " [0, 0, 0]]"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "answer, move = algorithm(nums)\n",
    "answer"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import matplotlib.animation as animation\n",
    "from IPython.display import HTML"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "#指针移动可视化\n",
    "def visualize_pointer_movement_with_squares(nums,move):\n",
    "    nums.sort()\n",
    "    original_nums = nums.copy()\n",
    "    pointer_movements = move\n",
    "    fig, ax = plt.subplots(figsize=(12, 4))\n",
    "    \n",
    "    for i, num in enumerate(original_nums):\n",
    "        ax.text(i, 0.5, num, ha='center', va='center', fontsize=12)\n",
    "        ax.add_patch(plt.Rectangle((i - 0.5, 0), 1, 1, fill=None, edgecolor='black'))\n",
    "\n",
    "    start_pointer, = ax.plot([], [], 'r^', label='Start Pointer', markersize=10)\n",
    "    fast_pointer, = ax.plot([], [], 'r^', label='Fast Pointer', markersize=10)\n",
    "    slow_pointer, = ax.plot([], [], 'bv', label='Slow Pointer', markersize=10)\n",
    "    ax.set_xlim(-0.5, len(nums) - 0.5)\n",
    "    ax.set_ylim(-1, 2)\n",
    "    ax.axis('off')\n",
    "    ax.legend(loc='upper right')\n",
    "\n",
    "    def update(frame):\n",
    "        start, fast, slow = pointer_movements[frame]\n",
    "        start_pointer.set_data((start , ),(-0.5,))\n",
    "        fast_pointer.set_data((fast ,), (1.5,))\n",
    "        slow_pointer.set_data((slow ,), (-0.5,))\n",
    "        return fast_pointer, slow_pointer\n",
    "\n",
    "    ani = animation.FuncAnimation(fig, update, frames=len(pointer_movements), interval=800, blit=True)\n",
    "    return HTML(ani.to_jshtml())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "\n",
       "<link rel=\"stylesheet\"\n",
       "href=\"https://maxcdn.bootstrapcdn.com/font-awesome/4.4.0/css/font-awesome.min.css\">\n",
       "<script language=\"javascript\">\n",
       "  function isInternetExplorer() {\n",
       "    ua = navigator.userAgent;\n",
       "    /* MSIE used to detect old browsers and Trident used to newer ones*/\n",
       "    return ua.indexOf(\"MSIE \") > -1 || ua.indexOf(\"Trident/\") > -1;\n",
       "  }\n",
       "\n",
       "  /* Define the Animation class */\n",
       "  function Animation(frames, img_id, slider_id, interval, loop_select_id){\n",
       "    this.img_id = img_id;\n",
       "    this.slider_id = slider_id;\n",
       "    this.loop_select_id = loop_select_id;\n",
       "    this.interval = interval;\n",
       "    this.current_frame = 0;\n",
       "    this.direction = 0;\n",
       "    this.timer = null;\n",
       "    this.frames = new Array(frames.length);\n",
       "\n",
       "    for (var i=0; i<frames.length; i++)\n",
       "    {\n",
       "     this.frames[i] = new Image();\n",
       "     this.frames[i].src = frames[i];\n",
       "    }\n",
       "    var slider = document.getElementById(this.slider_id);\n",
       "    slider.max = this.frames.length - 1;\n",
       "    if (isInternetExplorer()) {\n",
       "        // switch from oninput to onchange because IE <= 11 does not conform\n",
       "        // with W3C specification. It ignores oninput and onchange behaves\n",
       "        // like oninput. In contrast, Mircosoft Edge behaves correctly.\n",
       "        slider.setAttribute('onchange', slider.getAttribute('oninput'));\n",
       "        slider.setAttribute('oninput', null);\n",
       "    }\n",
       "    this.set_frame(this.current_frame);\n",
       "  }\n",
       "\n",
       "  Animation.prototype.get_loop_state = function(){\n",
       "    var button_group = document[this.loop_select_id].state;\n",
       "    for (var i = 0; i < button_group.length; i++) {\n",
       "        var button = button_group[i];\n",
       "        if (button.checked) {\n",
       "            return button.value;\n",
       "        }\n",
       "    }\n",
       "    return undefined;\n",
       "  }\n",
       "\n",
       "  Animation.prototype.set_frame = function(frame){\n",
       "    this.current_frame = frame;\n",
       "    document.getElementById(this.img_id).src =\n",
       "            this.frames[this.current_frame].src;\n",
       "    document.getElementById(this.slider_id).value = this.current_frame;\n",
       "  }\n",
       "\n",
       "  Animation.prototype.next_frame = function()\n",
       "  {\n",
       "    this.set_frame(Math.min(this.frames.length - 1, this.current_frame + 1));\n",
       "  }\n",
       "\n",
       "  Animation.prototype.previous_frame = function()\n",
       "  {\n",
       "    this.set_frame(Math.max(0, this.current_frame - 1));\n",
       "  }\n",
       "\n",
       "  Animation.prototype.first_frame = function()\n",
       "  {\n",
       "    this.set_frame(0);\n",
       "  }\n",
       "\n",
       "  Animation.prototype.last_frame = function()\n",
       "  {\n",
       "    this.set_frame(this.frames.length - 1);\n",
       "  }\n",
       "\n",
       "  Animation.prototype.slower = function()\n",
       "  {\n",
       "    this.interval /= 0.7;\n",
       "    if(this.direction > 0){this.play_animation();}\n",
       "    else if(this.direction < 0){this.reverse_animation();}\n",
       "  }\n",
       "\n",
       "  Animation.prototype.faster = function()\n",
       "  {\n",
       "    this.interval *= 0.7;\n",
       "    if(this.direction > 0){this.play_animation();}\n",
       "    else if(this.direction < 0){this.reverse_animation();}\n",
       "  }\n",
       "\n",
       "  Animation.prototype.anim_step_forward = function()\n",
       "  {\n",
       "    this.current_frame += 1;\n",
       "    if(this.current_frame < this.frames.length){\n",
       "      this.set_frame(this.current_frame);\n",
       "    }else{\n",
       "      var loop_state = this.get_loop_state();\n",
       "      if(loop_state == \"loop\"){\n",
       "        this.first_frame();\n",
       "      }else if(loop_state == \"reflect\"){\n",
       "        this.last_frame();\n",
       "        this.reverse_animation();\n",
       "      }else{\n",
       "        this.pause_animation();\n",
       "        this.last_frame();\n",
       "      }\n",
       "    }\n",
       "  }\n",
       "\n",
       "  Animation.prototype.anim_step_reverse = function()\n",
       "  {\n",
       "    this.current_frame -= 1;\n",
       "    if(this.current_frame >= 0){\n",
       "      this.set_frame(this.current_frame);\n",
       "    }else{\n",
       "      var loop_state = this.get_loop_state();\n",
       "      if(loop_state == \"loop\"){\n",
       "        this.last_frame();\n",
       "      }else if(loop_state == \"reflect\"){\n",
       "        this.first_frame();\n",
       "        this.play_animation();\n",
       "      }else{\n",
       "        this.pause_animation();\n",
       "        this.first_frame();\n",
       "      }\n",
       "    }\n",
       "  }\n",
       "\n",
       "  Animation.prototype.pause_animation = function()\n",
       "  {\n",
       "    this.direction = 0;\n",
       "    if (this.timer){\n",
       "      clearInterval(this.timer);\n",
       "      this.timer = null;\n",
       "    }\n",
       "  }\n",
       "\n",
       "  Animation.prototype.play_animation = function()\n",
       "  {\n",
       "    this.pause_animation();\n",
       "    this.direction = 1;\n",
       "    var t = this;\n",
       "    if (!this.timer) this.timer = setInterval(function() {\n",
       "        t.anim_step_forward();\n",
       "    }, this.interval);\n",
       "  }\n",
       "\n",
       "  Animation.prototype.reverse_animation = function()\n",
       "  {\n",
       "    this.pause_animation();\n",
       "    this.direction = -1;\n",
       "    var t = this;\n",
       "    if (!this.timer) this.timer = setInterval(function() {\n",
       "        t.anim_step_reverse();\n",
       "    }, this.interval);\n",
       "  }\n",
       "</script>\n",
       "\n",
       "<style>\n",
       ".animation {\n",
       "    display: inline-block;\n",
       "    text-align: center;\n",
       "}\n",
       "input[type=range].anim-slider {\n",
       "    width: 374px;\n",
       "    margin-left: auto;\n",
       "    margin-right: auto;\n",
       "}\n",
       ".anim-buttons {\n",
       "    margin: 8px 0px;\n",
       "}\n",
       ".anim-buttons button {\n",
       "    padding: 0;\n",
       "    width: 36px;\n",
       "}\n",
       ".anim-state label {\n",
       "    margin-right: 8px;\n",
       "}\n",
       ".anim-state input {\n",
       "    margin: 0;\n",
       "    vertical-align: middle;\n",
       "}\n",
       "</style>\n",
       "\n",
       "<div class=\"animation\">\n",
       "  <img id=\"_anim_imge1a28ef9934747d08fc8432c824dc94f\">\n",
       "  <div class=\"anim-controls\">\n",
       "    <input id=\"_anim_slidere1a28ef9934747d08fc8432c824dc94f\" type=\"range\" class=\"anim-slider\"\n",
       "           name=\"points\" min=\"0\" max=\"1\" step=\"1\" value=\"0\"\n",
       "           oninput=\"anime1a28ef9934747d08fc8432c824dc94f.set_frame(parseInt(this.value));\"></input>\n",
       "    <div class=\"anim-buttons\">\n",
       "      <button title=\"Decrease speed\" onclick=\"anime1a28ef9934747d08fc8432c824dc94f.slower()\">\n",
       "          <i class=\"fa fa-minus\"></i></button>\n",
       "      <button title=\"First frame\" onclick=\"anime1a28ef9934747d08fc8432c824dc94f.first_frame()\">\n",
       "        <i class=\"fa fa-fast-backward\"></i></button>\n",
       "      <button title=\"Previous frame\" onclick=\"anime1a28ef9934747d08fc8432c824dc94f.previous_frame()\">\n",
       "          <i class=\"fa fa-step-backward\"></i></button>\n",
       "      <button title=\"Play backwards\" onclick=\"anime1a28ef9934747d08fc8432c824dc94f.reverse_animation()\">\n",
       "          <i class=\"fa fa-play fa-flip-horizontal\"></i></button>\n",
       "      <button title=\"Pause\" onclick=\"anime1a28ef9934747d08fc8432c824dc94f.pause_animation()\">\n",
       "          <i class=\"fa fa-pause\"></i></button>\n",
       "      <button title=\"Play\" onclick=\"anime1a28ef9934747d08fc8432c824dc94f.play_animation()\">\n",
       "          <i class=\"fa fa-play\"></i></button>\n",
       "      <button title=\"Next frame\" onclick=\"anime1a28ef9934747d08fc8432c824dc94f.next_frame()\">\n",
       "          <i class=\"fa fa-step-forward\"></i></button>\n",
       "      <button title=\"Last frame\" onclick=\"anime1a28ef9934747d08fc8432c824dc94f.last_frame()\">\n",
       "          <i class=\"fa fa-fast-forward\"></i></button>\n",
       "      <button title=\"Increase speed\" onclick=\"anime1a28ef9934747d08fc8432c824dc94f.faster()\">\n",
       "          <i class=\"fa fa-plus\"></i></button>\n",
       "    </div>\n",
       "    <form title=\"Repetition mode\" action=\"#n\" name=\"_anim_loop_selecte1a28ef9934747d08fc8432c824dc94f\"\n",
       "          class=\"anim-state\">\n",
       "      <input type=\"radio\" name=\"state\" value=\"once\" id=\"_anim_radio1_e1a28ef9934747d08fc8432c824dc94f\"\n",
       "             >\n",
       "      <label for=\"_anim_radio1_e1a28ef9934747d08fc8432c824dc94f\">Once</label>\n",
       "      <input type=\"radio\" name=\"state\" value=\"loop\" id=\"_anim_radio2_e1a28ef9934747d08fc8432c824dc94f\"\n",
       "             checked>\n",
       "      <label for=\"_anim_radio2_e1a28ef9934747d08fc8432c824dc94f\">Loop</label>\n",
       "      <input type=\"radio\" name=\"state\" value=\"reflect\" id=\"_anim_radio3_e1a28ef9934747d08fc8432c824dc94f\"\n",
       "             >\n",
       "      <label for=\"_anim_radio3_e1a28ef9934747d08fc8432c824dc94f\">Reflect</label>\n",
       "    </form>\n",
       "  </div>\n",
       "</div>\n",
       "\n",
       "\n",
       "<script language=\"javascript\">\n",
       "  /* Instantiate the Animation class. */\n",
       "  /* The IDs given should match those used in the template above. */\n",
       "  (function() {\n",
       "    var img_id = \"_anim_imge1a28ef9934747d08fc8432c824dc94f\";\n",
       "    var slider_id = \"_anim_slidere1a28ef9934747d08fc8432c824dc94f\";\n",
       "    var loop_select_id = \"_anim_loop_selecte1a28ef9934747d08fc8432c824dc94f\";\n",
       "    var frames = new Array(58);\n",
       "    \n",
       "  frames[0] = \"\\\n",
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       "\"\n",
       "\n",
       "\n",
       "    /* set a timeout to make sure all the above elements are created before\n",
       "       the object is initialized. */\n",
       "    setTimeout(function() {\n",
       "        anime1a28ef9934747d08fc8432c824dc94f = new Animation(frames, img_id, slider_id, 800.0,\n",
       "                                 loop_select_id);\n",
       "    }, 0);\n",
       "  })()\n",
       "</script>\n"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "visualize_pointer_movement_with_squares(nums, move)"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.8.5"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}
